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Simplifying 6(3x2 + 6x) = 0 Reorder the terms: 6(6x + 3x2) = 0 (6x * 6 + 3x2 * 6) = 0 (36x + 18x2) = 0 Solving 36x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18x'. 18x(2 + x) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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